The height of a rocket x seconds after it is launched from a hill that is 224 feet high is modeled by the function f (2) = -16x² + 80x + 224. How long does it take the rocket to hit the ground?
It takes
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seconds.

t = 7 seconds

Step-by-step explanation:

The height of a rocket x seconds after it is launched from a hill that is 224 feet high is modeled by the function :

f (x) = -16x² + 80x + 224

We need to find how long does it take the rocket to hit the ground. At that point,

f(x) = 0

Neglecting -2. Hence, the rocket will take 7 seconds to hit the ground.

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